Question

Question:

Find Three Rational Number Between:
$\huge\ \: 1st = \frac{1}{3}\text{and} \frac{1}{5}$
$\:$
$\huge \: 2nd = \frac{ - 3}{4}\text{and} \frac{1}{2}$
​

Answer 1

Step-by-step explanation:

1 st 4/15,9/30,7/30

2nd 11/20,12/20,13/2

hope.it helped

Answer 2

Answer:

find a rational number between \dfrac{1}{3} and \dfrac{1}{2}

Solution :-

Step : 1 firstly take L.C.M of 3 and 2

L.C.M of 3 and 2 = 3 × 2

= 6

Step 2 Make the fraction's equivalent.

\dfrac{1}{3} = \dfrac{1×2}{3×2} = \dfrac{2}{6}

\dfrac{1}{2} = \dfrac{1×3}{2×3} = \dfrac{3}{6}

Step : 3 Now , it becomes like fractions, now multiply both by 2

\dfrac{2}{6} = \dfrac{2×2}{6×2} = \dfrac{4}{12}

\dfrac{3}{6} = \dfrac{3×2}{6×2} = \dfrac{6}{12}

Rational number between them are :-

\dfrac{5}{12}

________

One more Example for understanding more :-

find a rational number between \dfrac{6}{12} and \dfrac{8}{12}

Solution :-

\dfrac{6}{12} = \dfrac{6×2}{12×2} = \dfrac{12}{24}

\dfrac{8}{2} = \dfrac{8×2}{12×2} = \dfrac{16}{24}

3 Rational Numbers between them

\dfrac{13}{24} , \dfrac{14}{24} , \dfrac{15}{24}